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Square-free class sizes in products of groups

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Square-free class sizes in products of groups

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Felipe, MJ.; Martínez Pastor, A.; Ortiz-Sotomayor, VM. (2017). Square-free class sizes in products of groups. Journal of Algebra. 491:190-206. doi:10.1016/j.jalgebra.2017.08.007

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Title: Square-free class sizes in products of groups
Author: Felipe, María José Martínez Pastor, Ana Ortiz-Sotomayor, Víctor Manuel
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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[EN] We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a ...[+]
Subjects: Finite groups , Soluble groups , Products of subgroups , Conjugacy classes , IUMPA
Copyrigths: Reserva de todos los derechos
Journal of Algebra. (issn: 0021-8693 )
DOI: 10.1016/j.jalgebra.2017.08.007
Publisher version: https://doi.org/10.1016/j.jalgebra.2017.08.007
Project ID:
The first author is supported by Proyecto Prometeo II/2015/011, Generalitat Valenciana (Spain), and the second author is supported by Proyecto MTM2014-54707-C3-1-P, Ministerio de Economia, Industria y Competitividad (Spain). ...[+]
Type: Artículo

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